Polyphase convolvers

A general theory of serial-input-serial-output polyphase convolvers based on modules (phases) producing one convolved output every p samples is presented. Methods are presented for designing these convolvers for arbitrarily assigned weights, sample lengths, and number of convolution terms, under the assumption of zero, or assigned, interval between successive samples, minimum number of phases, and minimum intervals between successive convolved output from each phase. Two types of solution are shown, the first based on the use of distinct serial-parallel multipliers and the second on multipliers partially shared among successive convolution terms. A structure based on bit-slices is presented, permitting a convolver with assigned parameters to be designed from a stack of slices.<>